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We investigate the different regimes that emerge when a periodic driving force, the rocking force, acts on a collective feedback flashing ratchet. The interplay of the rocking and the feedback control gives a rich dynamics with different…

Other Condensed Matter · Physics 2009-09-28 M. Feito , J. P. Baltanas , F. J. Cao

When active matter particles such as swimming bacteria are placed in an asymmetric array of funnels, it has been shown that a ratchet effect can occur even in the absence of an external drive. Here we examine active ratchets for two…

Statistical Mechanics · Physics 2017-12-06 C. Reichhardt , C. J. Olson Reichhardt

Using computer simulations, we study a two-dimensional system of sterically interacting self-mobile run-and-tumble disk-shaped particles with an underlying periodic quasi-one-dimensional asymmetric substrate, and show that a rich variety of…

Soft Condensed Matter · Physics 2017-12-06 D. McDermott , C. J. Olson Reichhardt , C. Reichhardt

By means of electrical transport measurements we have studied the rectified motion of vortices in ratchet potentials engineered on over-damped Josephson junction arrays. The rectified voltage as a function of the vortex density shows a…

Superconductivity · Physics 2007-05-23 D. E. Shalom , H. Pastoriza

We study numerically the overdamped motion of particles driven in a two dimensional ratchet potential. In the proposed design, of the so-called geometrical-ratchet type, the mean velocity of a single particle in response to a constant force…

Disordered Systems and Neural Networks · Physics 2007-05-23 Alejandro B. Kolton

Ratchet effects can appear for particles interacting with an asymmetric potential under ac driving or for a thermal system in which a substrate is periodically flashed. Here, we show that a new type of collective ratchet effect can arise…

Soft Condensed Matter · Physics 2025-07-16 C. Reichhardt , C. J. O. Reichhardt

This is the third in a series of papers in which we consider one-dimensional Random Walk in Cooling Random Environment (RWCRE). The latter is obtained by starting from one-dimensional Random Walk in Random Environment (RWRE) and resampling…

Probability · Mathematics 2019-07-26 Luca Avena , Yuki Chino , Conrado da Costa , Frank den Hollander

We introduce a family of two-dimensional reflected random walks in the positive quadrant and study their Martin boundary. While the minimal boundary is systematically equal to a union of two points, the full Martin boundary exhibits an…

Probability · Mathematics 2022-09-27 Irina Ignatiouk-Robert , Irina Kourkova , Kilian Raschel

This work is motivated by the study of some two-dimensional random walks in random environment (RWRE) with transition probabilities independent of one coordinate of the walk. These are non-reversible models and can not be treated by…

Probability · Mathematics 2014-04-16 Nina Gantert , Michael Kochler , Francoise Pene

We experimentally demonstrate that the origin of multiply reversed rectified vortex motion in an asymmetric pinning landscape is a consequence not only of the vortex-vortex interactions but also essentially depends on the ratio between the…

Superconductivity · Physics 2009-11-13 W. Gillijns , A. V. Silhanek , V. V. Moshchalkov , C. J. Olson Reichhardt , C. Reichhardt

Ratchet effect -- a {\it dc} current induced by the electromagnetic wave impinging on the spatially modulated two-dimensional (2D) electron liquid -- occurs when the wave amplitude is spatially modulated with the same wave vector as the 2D…

Mesoscale and Nanoscale Physics · Physics 2014-12-01 I. V. Rozhansky , V. Yu. Kachorovskii , M. S. Shur

The atmospheres of (exo) planets and moons, as well as reflection nebulae, contain in general independently scattering particles in random orientation and are often supposed to be plane-parallel. Relations are presented for the…

Astrophysics · Physics 2008-09-23 J. W. Hovenier D. M. Stam

The "ratchet principle", which states that non-equilibrium systems violating parity symmetry generically exhibit steady-state currents, is one of the few generic results outside thermal equilibrium. We study exceptions to this principle…

Statistical Mechanics · Physics 2026-01-15 Jessica Metzger , Sunghan Ro , Julien Tailleur

We introduce a diffusion model for energetically inhomogeneous systems. A random walker moves on a spin-S Ising configuration, which generates the energy landscape on the lattice through the nearest-neighbors interaction. The underlying…

Statistical Mechanics · Physics 2008-06-17 E. Agliari , R. Burioni , D. Cassi , A. Vezzani

In pulsating active matter, topological defects are motile despite the absence of any macroscopic flows and microscopic self-propulsion. We reveal that this motility arises from a ratchet effect: the mechanochemical coupling between local…

Soft Condensed Matter · Physics 2026-05-26 Luca Casagrande , Alessandro Manacorda , Etienne Fodor

Autonomous active Brownian ratchets rectify active Brownian particle motion solely by means of a spatially modulated but stationary activity, without external forces. We argue that such ratcheting requires at least a two-dimensional…

Soft Condensed Matter · Physics 2023-05-24 Constantin Rein , Martin Kolář , Klaus Kroy , Viktor Holubec

We numerically investigate the effect of a periodic array of asymmetric obstacles in a two-dimensional active nematic. We find that activity in conjunction with the asymmetry leads to a ratchet effect or unidirectional flow of the fluid…

Soft Condensed Matter · Physics 2024-03-25 Cody D. Schimming , C. J. O. Reichhardt , C. Reichhardt

We propose and study a novel way to produce a DC transport of vortices when applying an AC electrical current to a sample. Specifically, we study superconductors with a graduated random pinning density, which transports interacting vortices…

Superconductivity · Physics 2009-11-07 C. J. Olson , C. Reichhardt , B. Janko , Franco Nori

We develop a two-timing perturbation analysis to investigate the existence of temporal ratchets in an exemplary system of a particle moving in a tank of fluid in response to an external vibration of the tank. We consider two-mode vibrations…

Applied Physics · Physics 2024-05-14 Aref Hashemi , Edward T. Gilman , Aditya S. Khair

Self-propelled particles accumulate on repulsive barriers in so-called active wetting, but the relationship between this process and equilibrium wetting remains unclear. Using an exact (noiseless) hydrodynamic framework for an active…

Statistical Mechanics · Physics 2025-12-10 Noah Grodzinski , Robert L. Jack , Michael E. Cates